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Soil Temperature Model for CERES and Similar Crop Models
Author(s) -
Hoffmann F.,
Beinhauer R.,
Dadoun F.
Publication year - 1993
Publication title -
journal of agronomy and crop science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.095
H-Index - 74
eISSN - 1439-037X
pISSN - 0931-2250
DOI - 10.1111/j.1439-037x.1993.tb01056.x
Subject(s) - differential equation , mathematics , heat transfer , heat equation , boundary value problem , partial differential equation , soil science , heat flow , convection , mathematical analysis , environmental science , thermodynamics , physics , thermal
Frequently the soil heat transfer is considered as a one‐dimensional (vertical) process which may be described by the differential equation (DE) of soil heat flow. Regarding the upper boundary, equations for bare and cropped fields are developed by means of data of Kiel and Michigan. For the lower boundary a theoretical and an empirical equation are given. The soil heat conductivity was estimated by the formulas of M c I nnes (1981). Equations are proposed for estimating the clay and quartz contents which are needed in these formulas. The convective term in the differential equation (DE) may be omitted without significant loss of precision. For the SALUS model in which the two upper layers are 2 resp. 5 cm thick a simple approximative solution for these two layers is given. The temperatures of the deeper layers are calculated by the DE for which in this case only two time steps per day are necessary. This yields short computing times.